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149654440 = 23513793643
BaseRepresentation
bin10001110101110…
…00101110101000
3101102121020022001
420322320232220
5301302420230
622503340344
73465020215
oct1072705650
9342536261
10149654440
1177526661
12421516b4
132500a830
1415c38b0c
15d2120ca
hex8eb8ba8

149654440 has 64 divisors (see below), whose sum is σ = 367315200. Its totient is φ = 54542592.

The previous prime is 149654437. The next prime is 149654447. The reversal of 149654440 is 44456941.

149654440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149654440.

It is not an unprimeable number, because it can be changed into a prime (149654447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39259 + ... + 42901.

It is an arithmetic number, because the mean of its divisors is an integer number (5739300).

Almost surely, 2149654440 is an apocalyptic number.

149654440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149654440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183657600).

149654440 is an abundant number, since it is smaller than the sum of its proper divisors (217660760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149654440 is a wasteful number, since it uses less digits than its factorization.

149654440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 149654440 is about 12233.3331516803. Note that the first 3 decimals coincide. The cubic root of 149654440 is about 530.9209572102.

The spelling of 149654440 in words is "one hundred forty-nine million, six hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 1027 1580 2054 3160 3643 4108 5135 7286 8216 10270 14572 18215 20540 29144 36430 41080 47359 72860 94718 145720 189436 236795 287797 378872 473590 575594 947180 1151188 1438985 1894360 2302376 2877970 3741361 5755940 7482722 11511880 14965444 18706805 29930888 37413610 74827220 149654440